In most of the natural-procedures, random alterations adapts to specific probability distribution which is called as normal distribution. Normal distribution is that probability distribution which is observed commonly by everyone. In the year 1700, mathematicians Laplace and de Moivre used normal distribution. Karl Gauss, a German physicist and mathematician used this distribution for analyzing data of astronomy. Thus, for this reason normal distribution was called as Gaussian distribution became more common among many communities of science.
Another definition of normal distribution is that it is a function of statistics which represents random-variable’s distribution in the form of a symmetrical graph having the shape of a bell.
A normal distribution is having a shape similar to the bell, and for this reason it is also sometimes called as bell curve. One e.g. of bell curve is given below:
The curve drawn above represent the graph for a given data which is having a mean of “0” (zero). Normal distribution-curve can also be described with the help of following equation of probability density: -
Characteristics of Bell Curve
Following are the characteristics of bell curve:
We can specify Normal distribution by 2 parameters mentioned below:
In the theory of probability, Gaussian or normal distribution has been defined as common probability-distribution which is used often as 1st approximation for describing
In the statistics, normal distribution has been considered as the most common probability distribution. This is due to many reasons which are mentioned below:
Applications of Normal Distribution
There are many applications of normal distribution in various fields of a business enterprise. Some of the examples are mentioned below:
Normal distribution is often used for describing random-variables, particularly those which have symmetrical-unimodal-distributions. In most of the cases, normal distribution, however, is just a rough idea of actual-distribution. Normal distribution is practiced in many fields such as statistics, social science & natural-science.
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